Middle School Mathematics Teachers' Knowledge of Students' Understanding of Core Algebraic Concepts: Equal Sign and Variable

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What Kinds of Numbers Do Students Assign to Literal Symbols? Aspects of the Transition from Arithmetic to Algebra (2012, background): “One such difficulty is the tendency to think that literal symbols can stand for only one, specific, unknown number as opposed to the generalized number (Asquith et al., 2007; Booth, 1988; Collis, 1975; Knuth et al., 2005; Kuchemann, 1981).”
A Is for Apple: Mnemonic Symbols Hinder the Interpretation of Algebraic Expressions (2010, background): “, Asquith et al., 2007) have shown that some teachers intentionally steer away from traditional literal symbols (x and y) toward mnemonic literal symbols (e.g., the number of apples might be represented as a, and the number of pears might be represented as p). This approach, which has been referred ”
Pre-Service Mathematic Teachers’ Knowledge of Students about the Algebraic Concepts (2013, result): “National or international studies on the issue report similar results (Boz, 2002; Boz, 2004; Stephens, 2006; Asquith et al., 2007).”